Preparation and sorption properties of zirconium phosphate spherical particles

Spherical particles of zirconium phosphate ion-exchanger have been prepared by the conversion of hydrous zirconia prepared by the sol-gel method. Some physicochemical properties, stabilities and sorptions of 1–4-valent cations have been studied and compared with those of amorphous zirconium phosphate powder.     

Function Values Are Enough for $$L_2$$ L 2 -Approximation

Foundations of Computational Mathematics - We study the $$L_2$$ -approximation of functions from a Hilbert space and compare the sampling numbers with the approximation numbers. The sampling number...     

A Brief Compendium of Time-Dependent Density Functional Theory

Time-dependent density functional theory (TDDFT) is a formally exact approach to the time-dependent electronic many-body problem which is widely used for calculating excitation energies. We present a survey of the fundamental framework, practical aspects, and applications of TDDFT. This paper is mainly intended for nonexperts (students or researchers in other areas) who would like to learn about the present state of TDDFT without going too deeply into formal details.     

Über Rosmarin und Rosmarinsäure

Rosmarinic acid, a tan from Lamiaceae, is found in rosemary and many other plants such as thyme, painted nettle, savory, sage, oregano, or lemon balm, from which it has been isolated here. It is a caffeic acid ester and a chiral, aromatic natural product. Rosmarinic acid tastes bitter, which may be attractive for rosemary as spice. Due to the catechol subunit the acid is an antioxidant. Using rosmarinic acid as a cure is possible due to manyfold physiological effects which are still under investigation. The rosmarinic acid biosynthesis pathway was completely elucidated at the painted nettle. This led to attempts to produce the acid biotechnologically by plant cell cultures in high yields. The preparation of a spectroscopically pure sample is challenging. All analytical spectra were recorded and are reproduced and interpreted either in the main part or in the supporting information.     

A two-particle exchange interaction model

The magnetisation reversal of two interacting particles was investigated within a simple model describing exchange coupling of magnetically uniaxial single-domain particles. Depending on the interaction strength W, the reversal may be cooperative or non-cooperative. A non-collinear reversal mode is obtained even for two particles with parallel easy axes. The model yields different phenomena as observed in spring magnets such as recoil hysteresis in the second quadrant of the field-magnetisation-plane, caused by exchange bias, as well as the mentioned reversal-rotation mode. The Wohlfarth’s remanence analysis performed on aggregations of such pairs of interacting particles shows that the deviation δM(H_m) usually being considered as a hallmark of magnetic interaction vanishes for all maximum applied fields H_m not only at W=0, but also for sufficiently large values of W. Furthermore, this so-called δM-plot depends on whether the sample is ac-field or thermally demagnetised.